Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7872/833,4931/414
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7872,4931
Greatest Common Factor of Numerators i.e. GCF of 7872,4931 is 1 .
LCM of Denominators means LCM of 833,414 as per the given fractions.
LCM of 833,414 is 344862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7872,4931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7872
List of positive integer factors of 7872 that divides 7872 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Factors of 4931
List of positive integer factors of 4931 that divides 4931 without a remainder.
1,4931
Greatest Common Factor
We found the factors 7872,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 7872,4931 is 1.
Lets's calculate LCM of 833,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 344862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344862
Therefore, the GCF of Fractions 7872/833,4931/414 is 1/344862
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 833,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,414) x common factors =1 x 1 = 1
LCM(833,414) = ( 833 × 414 ) / 1
LCM(833,414) = 344862 / 1
LCM(833,414) = 344862
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 7872/833, 4931/414?
Answer: GCF of Numerators as per given numbers 7872/833, 4931/414 is
GCF of Numerators i.e. for 7872,4931 is 1
LCM of denominators i.e. for 833,414 is 344862.
Thus, GCF of Fractions is 1/344862.Finally, GCF of Fractions for 7872/833, 4931/414 is 1/344862.